Recommended by Leonid Berezansky This work is concerned with the monotone iterative technique for partial dynamic equations of first order on time scales and for this purpose, the existence, uniqueness, and comparison results are also established.

Many different methods have been presented to solve unit commitment (UC) problem in literature with different advantages and disadvantages. The need for multiple runs, huge computational burden and time, and poor convergence are some of the disadvantages, where are especially considerable in large scale systems. In this paper, a new analytical and non-iterative method is presented to solve UC p...

We have developed previously ab initio molecular dynamics (AIMD) algorithms utilizing local molecular wave functions with atom-centered bases. The expense of such methods led us to explore means to employ multiple time step schemes to reduce costs. Herein we report our second implementation of such a scheme. In particular, our previous multiple time step AIMD method has been improved substantia...

We propose an extension of Thomson's multiple window spectrum estimation for stationary random processes to the time-varying spectrum estimation of non-stationary random processes. Unlike previous extensions of Thomson's method, in this paper we identify and utilize optimally concentrated window and wavelet functions for the time-frequency and timescale planes respectively. Moreover, we develop...